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Finding the Fourth Proportional to 183,011.70, 274,509.42 and 49,891.98

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Solution

The fourth proportional to 183,011.70, 274,509.42 and 49,891.98 is: 74,835.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,011.70 : 274,509.42 = 49,891.98 : x
  2. Step 2: Convert to fraction form
    183,011.70/274,509.42 = 49,891.98/x
  3. Step 3: Cross multiply
    183,011.70x = 274,509.42 × 49,891.98
  4. Step 4: Simplify right side
    183,011.70x = 13,695,818,492.45
  5. Step 5: Solve for x
    x = 13,695,818,492.45/183,011.70
  6. Step 6: Final answer
    x = 74,835.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.